When Rodney McKay gets a nose bleed, he pinches his nose and tilts his head back. That is wrong because that could cause the blood to go down your throat. You are supposed to tilt your head forward.
When Sheppard is carrying Weir to the Infirmary, she is holding onto his shoulder with her right hand. If she was really unconscious, both arms would be hanging behind her.
Technically, it's a 'star system', not a solar system, because there is only one solar system (the one with Earth in it). McKay of all people would know that and use the correct technical term.